This course focuses on the design and facilitation of mathematics experiences that embody more active approaches to learning advanced mathematics topics, including advanced algebra, trigonometry, and calculus. The parallel investigation of mathematics content, task design, and issues of teaching and learning occur throughout the course; this intertwining of perspectives is accomplished through the use of various instructional materials, readings, activities, and mathematics curricula. One overarching goal is to engage participants in advanced mathematical reasoning, to reflect on their own knowledge of mathematical relationships, and to examine pedagogical ideas that can foster productive mathematical teaching and learning.